Mediated probabilities of causation

We propose a set of causal estimands that we call “the mediated probabilities of causation.” These estimands quantify the probabilities that an observed negative outcome was induced via a mediating pathway versus a direct pathway in a stylized setting involving a binary exposure or intervention, a s...

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Main Authors: Rubinstein Max, Cuellar Maria, Malinsky Daniel
Format: Article
Language:English
Published: De Gruyter 2025-05-01
Series:Journal of Causal Inference
Subjects:
Online Access:https://doi.org/10.1515/jci-2024-0019
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author Rubinstein Max
Cuellar Maria
Malinsky Daniel
author_facet Rubinstein Max
Cuellar Maria
Malinsky Daniel
author_sort Rubinstein Max
collection DOAJ
description We propose a set of causal estimands that we call “the mediated probabilities of causation.” These estimands quantify the probabilities that an observed negative outcome was induced via a mediating pathway versus a direct pathway in a stylized setting involving a binary exposure or intervention, a single binary mediator, and a binary outcome. We outline a set of conditions sufficient to identify these effects given observed data and propose a doubly robust projection-based estimation strategy that allows for the use of flexible nonparametric and machine learning methods for estimation. We argue that these effects may be more relevant than the probability of causation, particularly in settings where we observe both some negative outcome and negative mediating event, and we wish to distinguish between settings where the outcome was induced via the exposure inducing the mediator versus the exposure inducing the outcome directly. We motivate these estimands by discussing applications to legal and medical questions of causal attribution.
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spelling doaj-art-c2a523c5c8df47c1aef44af6f4f90bec2025-08-20T03:07:58ZengDe GruyterJournal of Causal Inference2193-36852025-05-011313455710.1515/jci-2024-0019Mediated probabilities of causationRubinstein Max0Cuellar Maria1Malinsky Daniel2RAND Corporation, Pittsburgh, PA, USADepartment of Criminology and Department of Statistics and Data Science, University of Pennsylvania, Philadelphia, Pennsylvania, United StatesDepartment of Biostatistics, Columbia University, New York, United StatesWe propose a set of causal estimands that we call “the mediated probabilities of causation.” These estimands quantify the probabilities that an observed negative outcome was induced via a mediating pathway versus a direct pathway in a stylized setting involving a binary exposure or intervention, a single binary mediator, and a binary outcome. We outline a set of conditions sufficient to identify these effects given observed data and propose a doubly robust projection-based estimation strategy that allows for the use of flexible nonparametric and machine learning methods for estimation. We argue that these effects may be more relevant than the probability of causation, particularly in settings where we observe both some negative outcome and negative mediating event, and we wish to distinguish between settings where the outcome was induced via the exposure inducing the mediator versus the exposure inducing the outcome directly. We motivate these estimands by discussing applications to legal and medical questions of causal attribution.https://doi.org/10.1515/jci-2024-0019mediation analysisprobability of causationmachine learningnonparametricscausal inference62g0562d20
spellingShingle Rubinstein Max
Cuellar Maria
Malinsky Daniel
Mediated probabilities of causation
Journal of Causal Inference
mediation analysis
probability of causation
machine learning
nonparametrics
causal inference
62g05
62d20
title Mediated probabilities of causation
title_full Mediated probabilities of causation
title_fullStr Mediated probabilities of causation
title_full_unstemmed Mediated probabilities of causation
title_short Mediated probabilities of causation
title_sort mediated probabilities of causation
topic mediation analysis
probability of causation
machine learning
nonparametrics
causal inference
62g05
62d20
url https://doi.org/10.1515/jci-2024-0019
work_keys_str_mv AT rubinsteinmax mediatedprobabilitiesofcausation
AT cuellarmaria mediatedprobabilitiesofcausation
AT malinskydaniel mediatedprobabilitiesofcausation